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Finding the Fourth Proportional to 4,943.16, 7,414.74 and 1,479.96

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Solution

The fourth proportional to 4,943.16, 7,414.74 and 1,479.96 is: 2,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.16 : 7,414.74 = 1,479.96 : x
  2. Step 2: Convert to fraction form
    4,943.16/7,414.74 = 1,479.96/x
  3. Step 3: Cross multiply
    4,943.16x = 7,414.74 × 1,479.96
  4. Step 4: Simplify right side
    4,943.16x = 10,973,518.61
  5. Step 5: Solve for x
    x = 10,973,518.61/4,943.16
  6. Step 6: Final answer
    x = 2,219.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.